Barbary pirate vs pirate

Barbary pirate and pirate both are nouns.

Word	Noun	Adjective	Verb	Adverb
Barbary pirate	Yes	No	No	No
pirate	Yes	No	Yes	No

As nouns, pirate is a hypernym of Barbary pirate; that is, pirate is a word with a broader meaning than Barbary pirate:

Barbary pirate: a pirate along the Barbary Coast
pirate: someone who robs at sea or plunders the land from the sea without having a commission from any sovereign nation

Other hypernyms of Barbary pirate include buccaneer, sea robber, sea rover.

Barbary pirate (noun)	pirate (noun)
a pirate along the Barbary Coast	a ship that is manned by pirates
	someone who robs at sea or plunders the land from the sea without having a commission from any sovereign nation
	someone who uses another person's words or ideas as if they were his own

Barbary pirate (verb)	pirate (verb)
	take arbitrarily or by force
	copy illegally; of published material